110002121002011 has 96 divisors (see below), whose sum is σ = 172876486256640. Its totient is φ = 62029709280000.

The previous prime is 110002121002001. The next prime is 110002121002027. The reversal of 110002121002011 is 110200121200011.

It is not a de Polignac number, because 110002121002011 - 2²⁵ = 110002087447579 is a prime.

It is not an unprimeable number, because it can be changed into a prime (110002121002001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11110198161 + ... + 11110208061.

It is an arithmetic number, because the mean of its divisors is an integer number (1800796731840).

Almost surely, 2^{110002121002011} is an apocalyptic number.

110002121002011 is a deficient number, since it is larger than the sum of its proper divisors (62874365254629).

110002121002011 is a wasteful number, since it uses less digits than its factorization.

110002121002011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12425 (or 12418 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 110002121002011 its reverse (110200121200011), we get a palindrome (220202242202022).

The spelling of 110002121002011 in words is "one hundred ten trillion, two billion, one hundred twenty-one million, two thousand, eleven".